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3321322020 = 22325313716087
BaseRepresentation
bin1100010111110111…
…0101101000100100
322120110122122021200
43011331311220210
523300224301040
61305323242500
7145206525402
oct30575655044
98513578250
103321322020
111454888435
12788379430
1340c139403
1423716a472
151468b5630
hexc5f75a24

3321322020 has 144 divisors (see below), whose sum is σ = 10681402368. Its totient is φ = 833898240.

The previous prime is 3321322019. The next prime is 3321322027. The reversal of 3321322020 is 202231233.

It is a happy number.

3321322020 is a `hidden beast` number, since 3 + 321 + 322 + 0 + 20 = 666.

It is a super-2 number, since 2×33213220202 = 22062359921073760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3321321984 and 3321322002.

It is not an unprimeable number, because it can be changed into a prime (3321322027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198417 + ... + 214503.

Almost surely, 23321322020 is an apocalyptic number.

3321322020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340701184).

3321322020 is an abundant number, since it is smaller than the sum of its proper divisors (7360080348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3321322020 is a wasteful number, since it uses less digits than its factorization.

3321322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3321322020 is about 57630.9120177705. The cubic root of 3321322020 is about 1492.0051708427.

Adding to 3321322020 its reverse (202231233), we get a palindrome (3523553253).

The spelling of 3321322020 in words is "three billion, three hundred twenty-one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 148 155 180 185 186 222 279 310 333 370 372 444 465 555 558 620 666 740 930 1110 1116 1147 1332 1395 1665 1860 2220 2294 2790 3330 3441 4588 5580 5735 6660 6882 10323 11470 13764 16087 17205 20646 22940 32174 34410 41292 48261 51615 64348 68820 80435 96522 103230 144783 160870 193044 206460 241305 289566 321740 482610 498697 579132 595219 723915 965220 997394 1190438 1447830 1496091 1785657 1994788 2380876 2493485 2895660 2976095 2992182 3571314 4488273 4986970 5356971 5952190 5984364 7142628 7480455 8928285 8976546 9973940 10713942 11904380 14960910 17856570 17953092 18451789 21427884 22441365 26784855 29921820 35713140 36903578 44882730 53569710 55355367 73807156 89765460 92258945 107139420 110710734 166066101 184517890 221421468 276776835 332132202 369035780 553553670 664264404 830330505 1107107340 1660661010 3321322020